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Algebrability and nowhere Gevrey differentiability

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Bastin, F.; Conejero Casares, JA.; Esser, C.; Seoane-Sepulveda, JB. (2015). Algebrability and nowhere Gevrey differentiability. Israel Journal of Mathematics. 205:127-143. doi:10.1007/s11856-014-1104-1

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Title: Algebrability and nowhere Gevrey differentiability
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
We show that there exist c-generated algebras (and dense in C (a)([0, 1])) every nonzero element of which is a nowhere Gevrey differentiable function. This leads to results of dense algebrability (and, therefore, lineability) ...[+]
Subjects: Function-spaces , Sets , Spaceability
Copyrigths: Reserva de todos los derechos
Israel Journal of Mathematics. (issn: 0021-2172 )
DOI: 10.1007/s11856-014-1104-1
Springer Verlag (Germany)
Publisher version: http://link.springer.com/article/10.1007/s11856-014-1104-1
Description: "The final publication is available at Springer via http://dx.doi.org/10.1007/s11856-014-1104-1”
The fourth author was supported by CNPq Grant 401735/2013-3 (PVE - Linha 2).
Type: Artículo

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